I don't have the proper tools for working with material this large, so it took a lot of hours with the planer and sander to smooth it up. After about 10 coats of shellac, it looked pretty good.
I cut mortises in the table top and legs to mate them together like the Lincoln Logs we played with as kids. The fit was tight enough that the table is surprising stable without any fasteners. Here's the finished product, ready for a trip to the big city.